NEKG33 Mathematical methods for economists
Chapter 4 : Day 04: Linear and quadratic functions
By Lund University
Enough of algebra for now. Let's move on to analysis, specifically to linear and quadratic function. Remember the y=kx+m? That's the focus of today.
Linear functions
This section is entirely focused on the most important class of functions, namely the linear functions. We will look at what we mean by the slope and the intercept of a linear function and we will look at how to determine the graph of a given linear function. We will also look at how to determine the equation of the function from, for example, two points on its graph.
Linear functions
Problem: Slope of a linear function
Problem: Graph of a linear function
Problem: Equations of linear functions from graphs
Problem: Equations of linear functions from two points or a point and a slope
Problem: System of equations and graphs of functions
Problem: System of equations with no solutions
Problem: Collections of points in the xy-plane
Problem: Collections of points in the xy-plane
Problem: Equations of a linear function from two points
Problem: Linear functions and the delta-notation
Problem: Equations of a linear function from a point and a slope
Quadratic functions
In this section we will look at quadratic functions and polynomials and we study the graphs of these types of functions.